81023922777600 has 960 divisors, whose sum is σ = 338539451374080. Its totient is φ = 18788135731200.

The previous prime is 81023922777593. The next prime is 81023922777613. The reversal of 81023922777600 is 677722932018.

81023922777600 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 3 + 9 + 2 + 27 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×81023922777600³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86973472 + ... + 87900128.

It is an arithmetic number, because the mean of its divisors is an integer number (352645261848).

Almost surely, 2^{81023922777600} is an apocalyptic number.

81023922777600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81023922777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169269725687040).

81023922777600 is an abundant number, since it is smaller than the sum of its proper divisors (257515528596480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81023922777600 is a wasteful number, since it uses less digits than its factorization.

81023922777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926728 (or 926701 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 81023922777600 in words is "eighty-one trillion, twenty-three billion, nine hundred twenty-two million, seven hundred seventy-seven thousand, six hundred".